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What is the Least Common Multiple of 25732 and 25751?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 25732 and 25751 is 662624732.

LCM(25732,25751) = 662624732

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Least Common Multiple of 25732 and 25751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25732 and 25751, than apply into the LCM equation.

GCF(25732,25751) = 1
LCM(25732,25751) = ( 25732 × 25751) / 1
LCM(25732,25751) = 662624732 / 1
LCM(25732,25751) = 662624732

Least Common Multiple (LCM) of 25732 and 25751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25732 and 25751. First we will calculate the prime factors of 25732 and 25751.

Prime Factorization of 25732

Prime factors of 25732 are 2, 7, 919. Prime factorization of 25732 in exponential form is:

25732 = 22 × 71 × 9191

Prime Factorization of 25751

Prime factors of 25751 are 11, 2341. Prime factorization of 25751 in exponential form is:

25751 = 111 × 23411

Now multiplying the highest exponent prime factors to calculate the LCM of 25732 and 25751.

LCM(25732,25751) = 22 × 71 × 9191 × 111 × 23411
LCM(25732,25751) = 662624732